Volume 51, Number 4, October-December 2017
|Page(s)||965 - 983|
|Published online||21 November 2017|
Transient behaviour of three-heterogeneous servers queue with system disaster and server repair
Department of Mathematics, Bharathidasan Institute of Technology (BIT) Campus, Anna University, Tiruchirappalli 620024, Tamilnadu, India.
Received: 8 July 2016
Accepted: 16 March 2017
Three-heterogeneous servers queue with system disaster, server failure and repair is investigated. The arrival of customers follows Poisson process and service time is exponentially distributed. Explicit expressions are derived for the transient-state probabilities using generating function, modified Bessel function and Laplace transform. Further, the steady-state system size probabilities are deduced and certain important performance measures are acquired. Finally, numerical interpretations are presented to depict the system behaviour.
Mathematics Subject Classification: 60K25
Key words: Heterogeneous servers / system disaster / server repair / bessel function / Steady-state probabilities / performance measures
© EDP Sciences, ROADEF, SMAI 2017
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